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We investigate spectral properties of buoyancy driven bubbly flows. Using high-resolution numerical simulations and phenomenology of homogeneous turbulence, we identify the relevant energy transfer mechanisms. We find: (a) At high enough…

Fluid Dynamics · Physics 2023-08-24 Vikash Pandey , Dhrubaditya Mitra , Prasad Perlekar

In three-dimensional turbulence, information of turbulent fluctuations at large scales is propagated to small scales. Here, we investigate the relation between the information flow and turbulent fluctuations described by a shell model. We…

Statistical Mechanics · Physics 2024-11-11 Tomohiro Tanogami , Ryo Araki

We show that the intermittent dynamics observed in the inertial interval of Sabra shell model of turbulence can be rigorously related to the property of scaling self-similarity. In this connection, the space-time scaling symmetries (like in…

Fluid Dynamics · Physics 2022-06-29 Alexei A. Mailybaev

We analyze the data stemming from a forced incompressible hydrodynamic simulation on a grid of 2048^3 regularly spaced points, with a Taylor Reynolds number of Re~1300. The forcing is given by the Taylor-Green flow, which shares…

Fluid Dynamics · Physics 2009-11-13 P. D. Mininni , A. Alexakis , A. Pouquet

It has long been established that turbulence energy spectra scale on the Kolmogorov (1941) variables over a wide range of Reynolds numbers and in vastly different physical systems, depending only on the dissipation rate, the kinematic…

Fluid Dynamics · Physics 2018-12-24 W. D. McComb , M. Q. May

We introduce a novel approach to scale-decomposition of the fluid kinetic energy (or other quadratic integrals) into band-pass contributions from a series of length-scales. Our decomposition is based on a multiscale generalization of the…

Fluid Dynamics · Physics 2015-05-14 Gregory L. Eyink , Hussein Aluie

We develop a continuous Wilsonian renormalized-flow theory of weak wave turbulence directly in spectral frequency space, for finite cascades in experimentally driven Newtonian fluids. The central quantity is a scale-dependent effective…

Fluid Dynamics · Physics 2026-04-28 F. Monroy , J. A. Santiago

We study the self-similarity and dissipation scalings of a turbulent planar jet and the theoretically implied mean flow scalings. Unlike turbulent wakes where such studies have already been carried out (Dairay et al. 2015; Obligado et al.…

Fluid Dynamics · Physics 2019-06-19 G Cafiero , JC Vassilicos

It is known that scale invariance is broken in the developed hydrodynamic turbulence due to intermittency, substantiating complexity of turbulent flows. Here we challenge the concept of broken scale invariance by establishing a hidden…

Fluid Dynamics · Physics 2021-01-20 Alexei A. Mailybaev

We analyze multi-point correlation functions of a tracer in an incompressible flow at scales far exceeding the scale $L$ at which fluctuations are generated (quasi-equilibrium domain) and compare them with the correlation functions at…

Chaotic Dynamics · Physics 2009-11-11 Gregory Falkovich , Alexander Fouxon

We extend the analysis of [Zhou and Sornette, Physica D 165, 94-125, 2002] showing statistically significant log-periodic corrections to scaling in the moments of the energy dissipation rate in experiments at high Reynolds number ($\approx…

Statistical Mechanics · Physics 2009-11-07 W. -X. Zhou , D. Sornette , V. Pisarenko

Previous work has established the usefulness of the resolvent operator that maps the terms nonlinear in the turbulent fluctuations to the fluctuations themselves. Further work has described the self-similarity of the resolvent arising from…

Fluid Dynamics · Physics 2017-04-12 A S Sharma , R Moarref , B J McKeon

The Smagorinsky model, unmodified, is often reported to severely overdiffuse flows. Previous estimates of the energy dissipation rate of the Smagorinsky model for shear flows reflect a blow up of model energy dissipation as Re increases.…

Numerical Analysis · Mathematics 2016-01-26 William Layton

Anomalous dissipation, the persistence of a finite mean kinetic energy dissipation as the Reynolds number tends to infinity, occurs in flows with sufficiently spatially rough velocity fields. Compressible turbulence adds further anomalous…

Fluid Dynamics · Physics 2026-02-09 Georgy Zinchenko , Jörg Schumacher

Starting from the assumption that saturation of plasma turbulence driven by temperature-gradient instabilities in fusion plasmas is achieved by a local energy cascade between a long-wavelength outer scale, where energy is injected into the…

Plasma Physics · Physics 2025-10-23 P. G. Ivanov , T. Adkins , D. Kennedy , M. Giacomin , M. Barnes , A. A. Schekochihin

We report a high-resolution numerical study of two-dimensional (2D) miscible Rayleigh-Taylor (RT) incompressible turbulence with the Boussinesq approximation. An ensemble of 100 independent realizations were performed at small Atwood number…

Fluid Dynamics · Physics 2015-06-16 Quan Zhou

Scaling and structural evolutions are contemplated in a new perspective for turbulent channel flows. The total integrated turbulence kinetic energy remains constant when normalized by the friction velocity squared, while the total…

Fluid Dynamics · Physics 2021-05-19 T. -W. Lee

We study the Reynolds number scaling and the geometric self-similarity of a gain-based, low-rank approximation to turbulent channel flows, determined by the resolvent formulation of McKeon & Sharma (2010), in order to obtain a description…

Fluid Dynamics · Physics 2014-05-22 Rashad Moarref , Ati S. Sharma , Joel A. Tropp , Beverley J. McKeon

In this paper, we introduce a new way to estimate the scaling parameter of a self-similar process by considering the maximum probability density function (pdf) of tis increments. We prove this for $H$-self-similar processes in general and…

Fluid Dynamics · Physics 2014-02-05 Y. X. Huang , Francois G. Schmitt , Q. Zhou , X. Qiu , X. D. Shang , Z. M. Lu , and Y. L. Liu

The `local scaling' hypothesis, first introduced by Nieuwstadt two decades ago, describes the turbulence structure of stable boundary layers in a very succinct way and is an integral part of numerous local closure-based numerical weather…

Atmospheric and Oceanic Physics · Physics 2016-08-16 Sukanta Basu , Fernando Porté-Agel , Efi Foufoula-Georgiou , Jean-François Vinuesa , Markus Pahlow